Details

Time bar (total: 3.0s)

analyze12.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample216.0ms (7.2%)

Algorithm
intervals
Results
207.0ms256×body80valid

simplify469.0ms (15.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
078611
178611

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

rewrite30.0ms (1%)

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube associate-/l*
pow1 associate-/r* associate-/r/
add-log-exp
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls

3 calls:

10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series18.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

13.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify35.0ms (1.2%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050971256

prune202.0ms (6.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0.0b

Counts
101 → 2

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3))
0.0b
(pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)

rewrite51.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
130×sqrt-prod
124×add-sqr-sqrt
121×times-frac
71×add-cube-cbrt
64×cbrt-prod
58×unpow-prod-down cube-prod
31×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
12×associate-/r/
pow1 add-exp-log add-cbrt-cube
flip3-+ flip-+ div-inv
associate-/l*
associate-/r* add-log-exp
pow-unpow pow-pow sqrt-div
cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-/l/ sqr-pow
cbrt-undiv pow-to-exp cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp pow-exp clear-num sqrt-pow2 flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 237
Calls

4 calls:

12.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3))
11.0ms
(pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
8.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series24.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

8.0ms
(pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)
7.0ms
(/ (- 1.0 x) (+ 1.0 x))
4.0ms
(cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3))
4.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051483732

prune681.0ms (22.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2481249
Fresh000
Picked101
Done011
Total2492251

Merged error: 0b

Counts
251 → 2

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(atan (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)
0.0b
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2))

rewrite33.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
52×unpow-prod-down
37×add-cube-cbrt
30×cbrt-prod
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
add-exp-log
associate-/r/ add-cbrt-cube
pow1 associate-/l*
associate-/r* add-log-exp
pow-unpow flip3-+ flip-+ div-inv
div-exp pow-exp associate-/l/ sqr-pow
cbrt-undiv pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip--
Counts
4 → 132
Calls

4 calls:

10.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2))
9.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)))

series17.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

8.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)
5.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2))
3.0ms
(/ (- 1.0 x) (+ 1.0 x))
2.0ms
(atan (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3/2)))

simplify77.0ms (2.6%)

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049232135
149232135

prune359.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done011
Total1442146

Merged error: 0b

Counts
146 → 2

regimes125.0ms (4.2%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms (0%)

sample524.0ms (17.5%)

Algorithm
intervals
Results
411.0ms8000×body80valid

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